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1151454440010 = 235797101559673
BaseRepresentation
bin10000110000011000000…
…010000110101001001010
311002002002211200010222010
4100300120002012221022
5122331134314040020
62240545412440350
7146122054152120
oct20603002065112
94062084603863
101151454440010
11404369016386
121671ab9190b6
1384773c77a94
143da3303b910
151ee42d90de0
hex10c18086a4a

1151454440010 has 128 divisors (see below), whose sum is σ = 3222432751104. Its totient is φ = 257896857600.

The previous prime is 1151454439987. The next prime is 1151454440077. The reversal of 1151454440010 is 100444541511.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 1151454440010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1777534 + ... + 2337206.

It is an arithmetic number, because the mean of its divisors is an integer number (25175255868).

Almost surely, 21151454440010 is an apocalyptic number.

1151454440010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1151454440010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611216375552).

1151454440010 is an abundant number, since it is smaller than the sum of its proper divisors (2070978311094).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1151454440010 is a wasteful number, since it uses less digits than its factorization.

1151454440010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559888.

The product of its (nonzero) digits is 6400, while the sum is 30.

Adding to 1151454440010 its reverse (100444541511), we get a palindrome (1251898981521).

The spelling of 1151454440010 in words is "one trillion, one hundred fifty-one billion, four hundred fifty-four million, four hundred forty thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 97 101 105 194 202 210 291 303 485 505 582 606 679 707 970 1010 1358 1414 1455 1515 2037 2121 2910 3030 3395 3535 4074 4242 6790 7070 9797 10185 10605 19594 20370 21210 29391 48985 58782 68579 97970 137158 146955 205737 293910 342895 411474 559673 685790 1028685 1119346 1679019 2057370 2798365 3358038 3917711 5596730 7835422 8395095 11753133 16790190 19588555 23506266 39177110 54288281 56526973 58765665 108576562 113053946 117531330 162864843 169580919 271441405 282634865 325729686 339161838 380017967 395688811 542882810 565269730 760035934 791377622 814324215 847904595 1140053901 1187066433 1628648430 1695809190 1900089835 1978444055 2280107802 2374132866 3800179670 3956888110 5483116381 5700269505 5935332165 10966232762 11400539010 11870664330 16449349143 27415581905 32898698286 38381814667 54831163810 76763629334 82246745715 115145444001 164493491430 191909073335 230290888002 383818146670 575727220005 1151454440010